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### 14 Cards in this Set

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 Competency 011The beginning teacher: • Works proficiently with real and complex numbers and their operations. Competency 011The beginning teacher: • Analyzes and describes relationships between number properties, operations, and algorithms for the four basic operations involving integers, rational numbers, and real numbers. Competency 011The beginning teacher: • Uses a variety of concrete and visual representations to demonstrate the connections between operations and algorithms. Competency 011 The beginning teacher: • Justifies procedures used in algorithms for the four basic operations with integers, rational numbers, and real numbers, and analyzes error patterns that may occur in their application. Competency 011 The beginning teacher: • Relates operations and algorithms involving numbers to algebraic procedures (e.g., adding fractions to adding rational expressions, division of integers to division of polynomials). Competency 011 The beginning teacher: • Extends and generalizes the operations on rationals and integers to include exponents, their properties, and their applications to the real numbers. first distributor phase of comp 11 • Perform operations using any of the subsets of the complex numbers SECOND distributor phase of comp 11 • Represent arithmetic and algebraic algorithms in concrete, visual and paper pencil FORMATS THIRD DISTRIBUTOR PHASE OF COMP 11 • Analyze and justify procedures in arithmetic and simple algebraic problems. FOURTH DISTRIBUTOR PHASE OF COMP 12 • Use exponents to work with large and small numbers as well as algebraic representations. • If a decimal and a fraction are involved, convert either the fraction to a _______ form or the decimal • If a decimal and a fraction are involved, convert either the fraction to a decimal form or the decimal to a fraction and then add/subtract. • When adding/subtracting complex numbers identify real and imaginary parts and then add/subtract their coefficients respectively. (a + bi) + (c + di) = (a + c) + i(b + d) Examples: Simplify. a. +3 = b. 2.1+ = c. 3+2i–(5+10i) Answers: a. b. By converting to a decimal form, we get 2.1 + = 2.1+0.5=2.6 c. 3+2i –(5+10i)=3+2i –5–10i = 3–5+2i–10i = -2–8i Multiplying and Dividing Division by a fraction is multiplication by the reciprocal thus the rules remain similar for both operations. Examples: Simplify. a.1/2 +3 2/3 = b. 2.1+ = c. 3+2i–(5+10i) Examples: Simplify. a. +3 = b. 2.1+ 1/2= c. 3+2i–(5+10i) 1/2 + 2 2/3 GET ANSWER LATER